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Newtons laws cease to have validity at speeds nearing the speed of light. Specifically, his second law, which states that the net force acting on an object is proportional to it's mass and acceleration doesn't work when one nears the speed of light, because an objects mass increases with it's speed. This effect is negligible for even high speed bullets or hypersonic aircraft, so Newton's second law holds, but at speeds near those of light, mass increases so much that it would take a theoretically infinite force to accelerate an object to the speed of light.

Since all of Newton's formulations state that an object's mass is unrelated to it's speed in any way, then pretty much anything that relates to mass and motion at the same time collapses at speeds near that of light.

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